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# VITEEE PCME Mock Test - 8

## 125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 8

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This mock test of VITEEE PCME Mock Test - 8 for JEE helps you for every JEE entrance exam. This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 8 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE PCME Mock Test - 8 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE PCME Mock Test - 8 exercise for a better result in the exam. You can find other VITEEE PCME Mock Test - 8 extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

Solution:
QUESTION: 2

Solution:
QUESTION: 3

### Solution:
QUESTION: 4

If z and ω are two non-zero complex numbers such that |z ω | = 1, and arg(z) - arg(ω)= π/2,then z̅ω is equal to

Solution:
QUESTION: 5 Solution:
QUESTION: 6

The derivative of an odd function is an

Solution:
QUESTION: 7 Solution:
QUESTION: 8

Suppose ω is an imaginary cube root of unity. If (1+ω2)m = (1+ω4)m, then the least positive integral value of m is

Solution:

The given equation reduces to (−ω)m    = (−ω2)m

⇒ ωm  = 1

⇒ m = 3

QUESTION: 9 is continuous at x = 0, then k =

Solution:
QUESTION: 10

The differential equation which represents the family of plane curves y=exp. (cx) is

Solution:

y = ecx
dy/dx = c. ecx
y' = cy

QUESTION: 11

The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as follows

Solution:
QUESTION: 12

If y = y(x) and [(2 + sin x)∕(y + 1)(dy∕dx)] = -cos x, y(0) = 1, then y (π∕2) equals

Solution:
QUESTION: 13

If siny=x sin (a+y), (dy/dx)=

Solution:
QUESTION: 14

Integrating factor of Solution:
QUESTION: 15

If f(x) = cos (logx), then f(x) f(y) -1/2[f(x/y) + f(xy)] has the value

Solution:
QUESTION: 16

∫sin√x dx =

Solution:
QUESTION: 17

∫[(sec2x)/(1+tanx)] dx =

Solution:
QUESTION: 18

If sin (sin⁻1 1/5 + cos-1 x) = 1, then x is equal to

Solution:
QUESTION: 19

If a , b , c , d are positive real numbers then Solution:
QUESTION: 20 Solution:
QUESTION: 21

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

Solution:

Statements are logically equivalent to their contrapositives.

QUESTION: 22

If A is a singular matrix, then A adj (A)

Solution:
QUESTION: 23

If the value of a determinants is 11, then the square of the determinant formed by its cofactor will be

Solution:
QUESTION: 24

How many words can be formed from the letters of the word MATHEMATICS?

Solution:
QUESTION: 25

\'A\' draws two cards with replacement from a pack of 52 cards and \'B\' throws a pair of dice. What is the chance that \'A\' gets both cards of same suit and \'B\' gets total of 6?

Solution:
QUESTION: 26

The probabiltiy that the two digit number formed by digits 1,2,3,4 is divisible by 4, is

Solution:
QUESTION: 27

A single letter is selected at random from the word PROBABILITY. The probability that it is a vowel is

Solution:
QUESTION: 28 Solution:
QUESTION: 29

The fourth ,seventh and tenth of a G.P. are p,q,r respectively then

Solution:
QUESTION: 30

Which of the following measures of marks is the most suitable one of central location for computing intelligence of students?

Solution:
QUESTION: 31

A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44, then the mean deviation is

Solution:
QUESTION: 32

In equation 2|x+1|-2x=|2x-1|+1 the values of x are

Solution:
QUESTION: 33

The equation of the sphere concentric with the sphere x2+y2+z2-4x-6y-8z=0 and which passes thro' (0.1,0) is

Solution:
QUESTION: 34

If √2 + √3 + i be one of the roots of a given equation f(x) = 0 with real coefficients, then the lowest degree of such an equation must be____

Solution:

Since the complex and irrational roots occure in pairs, therefore, if one root is 2 + √3 + i , then the other roots are QUESTION: 35

The equation of the sphere concentric with the sphere x2+y2+z2 - 4x - 6y - 8z - 5 = 0 and which passes through the point (0, 1, 0) is

Solution:
QUESTION: 36

If m1, m2 are slopes of the two tangents that are drawn from (2, 3) to the parabola y2 = 4x, then the value of [(1/m1) + (1/m2)] is

Solution:
QUESTION: 37

If P is any point on the hyperbola [(x - 1)2/9 - (y + 1)2/16] = 1 and S1, S2 are its foci, then | s1 P - S2 P |

Solution:
QUESTION: 38

The values of 'θ' satisfying sin 7θ = sin 4θ - sin θ in 0 < θ < π/2 are

Solution:

sin 7θ + sin θ - sin 4θ = 0
⇒ 2 sin 4θ . cos 3θ - sin 4θ = 0
⇒ sin 4θ [2 cos 3θ - 1] = 0
⇒ sin 4θ = 0 or cos 3θ = 1/2 = cos ( π/3 )
⇒ 4θ = nπ or 3θ = 2nπ  ( π/3 )
⇒ θ = nπ/4 or θ = ( 2nπ/3 ) ( π/9 )
∴ The values of θ are π/4 , π/9

QUESTION: 39

The angle between the vectors i-j+k and i+2j+k is

Solution:
QUESTION: 40

The volume of parallelopiped whose edges are -12i+λk, 3i-k, 2i+j-15k respectively is 546, then λ=

Solution:
QUESTION: 41
In an A.C. circuit, the power factor
Solution:
QUESTION: 42

The value of de-Broglie wavelength of an electron moving with a speed of 6.6 x 105 m s-1 is approximately [ h = 6.6 x 10-34   J − sec , mass of electron = 9 x 10-31 Kg ]

Solution:
QUESTION: 43

A photon of energy 2.5eV and wavelength λ falls on a metal surface and the ejected electrons have a velocity 'V' . If the wave length λ of incident light is decreased by 20%, the velocity of emitted electrons is doubled, then the work function of the metal is

Solution:
QUESTION: 44
9 gm of silver is deposited in 20 min. by a battery of 24 V. How many gms will be deposited in 40 min. by a battery of 8 V?
Solution:
QUESTION: 45

If sky wave with a frequency of 50 MHz is incident on D-region at an angle of 30o, then angle of refraction is

Solution:
QUESTION: 46

Minimum resistance of a circuit, with n resistance 'R' each combination is

Solution:
QUESTION: 47
If the charge on a capacitor is increased by 2 coulomb, the energy stored in it increases by 21%. The original charge on the capacitor is
Solution:
QUESTION: 48
Which statement is true ?
(i) Kirchhoff's law is not equally applicable to both AC and DC.
(ii) Semiconductors have a positive temperature coefficient of resistance.
(iii) Meter bridge is least sensitive when the resistance of all the four arms of the bridge are of the same order .
(iv) The emf of a cell depends upon the size and area of electrodes.
Solution:
QUESTION: 49

A wire of length L is drawn such that its diameter is reduced to half of its original diameter. If the initial resistance of the wire were 10Ω, its new resistance would be

Solution:

We have kept the volume of the wire constant i.e.  QUESTION: 50
In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is
Solution:
QUESTION: 51
If an electron and a photon propagates in the form of waves having the same wavelength, it implies that they have the same
Solution:
QUESTION: 52
A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line is
Solution:
QUESTION: 53

The expression for magnetic induction inside a solenoid of length L, carrying a current I and having N number of turns is

Solution:
QUESTION: 54
Which of the following waves have maximum wavelength?
Solution:
QUESTION: 55
A charge is placed at the centre of a cube, the flux emitted through its one face is
Solution:
QUESTION: 56
A charge of 5 C is given a displacement of 0.5 m. The work done in the process is 10 J. The potential difference between the two points will be
Solution:
QUESTION: 57
Consider the situation shown in figure. Work done in carrying a point charge from k to A, B, C are ${W}_{A},{W}_{B},{W}_{C}$ respectively. Which one is true?
Solution:
QUESTION: 58
The ratio of charge to potential of a capacitor is known as its
Solution:
QUESTION: 59
Two point charges +8q and -2q are located at x = 0 and x = L respectively. The location of a point on the x-axis, at which the net electric field due to these two point charges is zero, is
Solution:
QUESTION: 60
To send 10% of the main current, through a moving coil galvanometer of resistance 99Ω, the shunt required is
Solution:
QUESTION: 61

The inductance of a coil is L = 10 H and resistance R = 5 Ω . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.

Solution:
QUESTION: 62
The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an:
Solution:
QUESTION: 63
The rest energy involved in a mass of one atomic mass unit is ---- eV.
Solution:
QUESTION: 64 Solution:
QUESTION: 65
Assuming photoemission to continue to take place, the factor by which the maximum velocity of the emitted photoelectrons changes when the wavelength of the incident radiation is increased four times, is
Solution:
QUESTION: 66
When the light source is kept 20 cm away from a photo cell, stopping potential 0.6 V is obtained. When source is kept 40 cm away, the stopping potential will be
Solution:
QUESTION: 67
A mirror produces magnified erect image of an object. The nature of the mirror is
Solution:
QUESTION: 68
The energy stored in a capacitor is actually stored
Solution:
QUESTION: 69

The distance travelled by light in glass (refractive index =1.5) in a nanosecond will be

Solution:

Speed of light in glass Distance travelled in one nanosecond
= 2 x 108 x 10-9 = 0.2 m = 20 cm

QUESTION: 70
The voltage gain of an amplifier with 9% negative feedback is 10. The voltage gain without feedback will be
Solution:
QUESTION: 71
To obtain p - type extrinsic semiconductor, the impurity element to be added to Germanium should be of valence
Solution:
QUESTION: 72
The dominant mechanism for motion of charge carriers in forward and reverse biased silicon p-n junction are
Solution:
QUESTION: 73
Electronic configuration of Germanium is 2, 8, 18 and 4. To make it extrinsic semiconductor small quantity of antimony is added
Solution:
QUESTION: 74
A rectifier converts
Solution:
QUESTION: 75
Electronic configuration of germanium is 2, 8, 18 and 4. To make it extrinsic semiconductor small quantity of antinomy is added
Solution:
QUESTION: 76
In the forward bias arrangement of a p-n junction diode
Solution:
QUESTION: 77
A wave front is the locus of all the particles of a medium, which are vibrating in the
Solution:
QUESTION: 78
The golden view of sea shell is due to
Solution:
QUESTION: 79
Two sources of same intensity interfere at a point and produced resultant I. When one source is removed, the intensity at that point will be
Solution:
QUESTION: 80
In Young's experiment of double slit, the intensity of central bright band is ---- times the individual intensities of the interfering waves
Solution:
QUESTION: 81

In presence of alkali, C₂H₅OH reacts with Cl₂ to give

Solution:
QUESTION: 82

At room temperature formaldehyde is

Solution:
QUESTION: 83

Schiff's reagent is

Solution:
QUESTION: 84

The product acetal is produced by reacting alcohol in the presence of dry HCl with

Solution:
QUESTION: 85

The addition of HBr to 2-pentene gives

Solution:
QUESTION: 86

The ratio of the molar amounts of H₂S needed to precipitate the metal ions from 20 mL each of 1M Cd(NO₃)₂ and 0.5 M CuSO₄ is

Solution:

As Cd2+ and Cu2+, both are dipositive ions but Cu2+ has one half of the concentration compared to that of the Cd2+. Thus, the molar amount of the H2S used to precipitate the metals ions Cd2+ and Cu2+ is 2 : 1.

QUESTION: 87

How many monochlorobutanes will be obtained on chlorination of n-butane?

Solution: QUESTION: 88

The unit for electric current is

Solution:
QUESTION: 89

Which one of the following compounds is not a vitamin?

Solution:
QUESTION: 90

The substances which act as emulsifiers in lipid metabolism are

Solution:
QUESTION: 91

Scurvy is caused due to the deficiency of vitamin

Solution:
QUESTION: 92

The following reaction is called
2 CH₃COOC₂H₅ → CH₃COCH₂COOC₂H₅

Solution:
QUESTION: 93

Which of the following is the strongest acid?

Solution:
QUESTION: 94

Vinegar made from cane sugar, now-a-days synthetically contains

Solution:
QUESTION: 95

The role of a catalyst in a reversible reaction is to

Solution:
QUESTION: 96

Calculate Δ H in KJ for the following reaction C(s)+ O2 g → CO2 g Given that
H2O g + C g → CO g + H2 g , Δ H = + 131 k J
CO g + 1/2 O2 g → CO2 g , Δ H = − 282 k J
H2 g + 1/2 O2 g →H2O g , Δ H = − 242 k J

Solution:
QUESTION: 97

The rate, at which a substance reacts at constant temperature, depends upon its

Solution:
QUESTION: 98

The free energy change ∆G=0, when

Solution:
QUESTION: 99

Which of the following ingredients is not used in sun burn creams?

Solution:
QUESTION: 100

Which of the following will show geometrical isomerism ?

Solution:
QUESTION: 101

Standard enthalpy and standard entropy changes for the oxidation of ammonia at 298 K are - 382.64 kJ mol-1 and - 145.6 JK-1 mol-1 respectively. The standard Gibbs energy change for the same reaction 298 K is

Solution:  QUESTION: 102

How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral complex with a Ca2+ ion?

Solution:
QUESTION: 103

Acetaldoxime reacts with P₂O₅ to give

Solution:
QUESTION: 104

Which of the following compound gives dye test ?

Solution:
QUESTION: 105

A complex compound of Co2+ with molecular formula CoClxyNH₃ gives a total of three ions per molecule when dissolved in water. How many Cl⁻ ions satisfy primary as well secondary valencies in this complex?

Solution:
QUESTION: 106

The amount of electricity that can deposit 108 g of silver from silver nitrate solution is

Solution:
QUESTION: 107

Which of the following is a strong electrolyte?

Solution:
QUESTION: 108

The quantity of electricity required to liberate 112 cm3 of hydrogen at STP from acidified water is

Solution:
QUESTION: 109

The important oxide ore of iron is

Solution:
QUESTION: 110

Among the following oxides, the least acidic is

Solution:
QUESTION: 111

Use of hot air balloons in sports and metereological observations is an application of

Solution:
QUESTION: 112

When ether is exposed in air for sometime, an explosive substance produced is

Solution:
QUESTION: 113

An alloy which does not contain copper is

Solution:
QUESTION: 114

Nitrogen shows different oxidation states in the range

Solution:
QUESTION: 115 Solution:
QUESTION: 116

In CsCl structure, each Cs⁺ ion is surrounded by

Solution:
QUESTION: 117

Zn2+aq) + 2e- → Zn(s). This is

Solution:
QUESTION: 118

Cupric hydroxide dissolves in aqueous ammonia due to

Solution:
QUESTION: 119

The formation of a colloid from suspension is

Solution:
QUESTION: 120

Cuprous ion is colourless while cupric ion is coloured because

Solution:
QUESTION: 121

Find the antonym of DEROGATORY

Solution:
QUESTION: 122

Solution:
QUESTION: 123

Fill in the blank with appropriate word.
Many of the advances of civilisation have been conceived by young people just on the........of adulthood

Solution:
QUESTION: 124

Out of the given alternatives, choose the one which can be substituted for the given capitalised word.

The police fired AT RANDOM at the violent crowd and several persons lost their lives.

Solution:
QUESTION: 125

Improve the sentence by choosing best alternative for capitalised part of the sentence.

Last evening I went to the optician and bought SPECTACLES

Solution: